xenharmonic (microtonal wiki)

Omnitetrachordal MODMOS scale
15L+9s
24 tones (10+4+10)

triforce, hemimist, nessafof; best at low L/s

P = 1.1733445018
Q = 3.390025129 (4/3 = 6L+4.5s)

L = 50.00 to 80.00 cents (52.93 cents @ P, 67.97 cents @ Q)
s = 0.00 to 50.00 cents (45.11 cents @ P, 20.05 cents @ Q)

9/8 = 3L+s (200.00 to 240.00 cents)
4/3 = 6L+4s (480.00 to 500.00 cents)
MOS generator = 2L+s (150.00 to 160.00 cents)
MOS period = 1/3 octave (400.00 cents)

notable EDOs: 39, 54, 63, 87

LsLLsLsLLsLLsLsLLsLLsLsL (MOS, not OTC)
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LLsssLLLsLLLsLLLsssLLLsL (OTC MODMOS) - gc 4,2,4,2,4,2,2; 4o

all modes:

		`sssLLLsLLL sssLLLsLLL sLLL`
		`ssLLLsLLLs ssLLLsLLLs LLLs`
	`sLLLsLLLss sLLL sLLLsLLLss`
	`LLLsLLLsss LLLs LLLsLLLsss`
	`LLsLLLsssL LLsL LLsLLLsssL`
	`LsLLLsssLL LsLL LsLLLsssLL`
	`sLLLsssLLL sLLL sLLLsssLLL`
	`LLLsssLLLs LLLs LLLsssLLLs`
	`LLsssLLLsL LLsL LLsssLLLsL`
	`LsssLLLsLL LsLL LsssLLLsLL`
	`sssLLLsLLL sLLL sssLLLsLLL`
	`ssLLLsLLLs LLLs ssLLLsLLLs`
`sLLL sLLLsLLLss sLLLsLLLss`
`LLLs LLLsLLLsss LLLsLLLsss`
`LLsL LLsLLLsssL LLsLLLsssL`
`LsLL LsLLLsssLL LsLLLsssLL`
`sLLL sLLLsssLLL sLLLsssLLL`		`sLLLsLLLss sLLLsLLLss sLLL`
`LLLs LLLsssLLLs LLLsssLLLs`		`LLLsLLLsss LLLsLLLsss LLLs`
`LLsL LLsssLLLsL LLsssLLLsL`		`LLsLLLsssL LLsLLLsssL LLsL`
`LsLL LsssLLLsLL LsssLLLsLL`		`LsLLLsssLL LsLLLsssLL LsLL`
`sLLL sssLLLsLLL sssLLLsLLL`		`sLLLsssLLL sLLLsssLLL sLLL`
`LLLs ssLLLsLLLs ssLLLsLLLs`		`LLLsssLLLs LLLsssLLLs LLLs`
		`LLsssLLLsL LLsssLLLsL LLsL`
		`LsssLLLsLL LsssLLLsLL LsLL`

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Theory

OTC 15L 9s

See also